Some (Hopf) algebraic properties of circulant matrices
We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant \(n\times n\) matrices is isomorphic to the group algebra of the cyclic group with \(n\) elements. We introduce also a class of matrices that generalize both circulant and skew circula...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/688 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543038611914752 |
|---|---|
| author | Albuquerque, Helena Panaite, Florin |
| author_facet | Albuquerque, Helena Panaite, Florin |
| author_sort | Albuquerque, Helena |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:42:12Z |
| description | We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant \(n\times n\) matrices is isomorphic to the group algebra of the cyclic group with \(n\) elements. We introduce also a class of matrices that generalize both circulant and skew circulant matrices, and for which the eigenvalues and eigenvectors can be read directly from their entries. |
| first_indexed | 2025-12-02T15:40:39Z |
| format | Article |
| id | admjournalluguniveduua-article-688 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:40:39Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-6882018-04-04T09:42:12Z Some (Hopf) algebraic properties of circulant matrices Albuquerque, Helena Panaite, Florin Hopf algebras; (generalized) circulant matrices; Brandt algebras 15B05; 16W30 We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant \(n\times n\) matrices is isomorphic to the group algebra of the cyclic group with \(n\) elements. We introduce also a class of matrices that generalize both circulant and skew circulant matrices, and for which the eigenvalues and eigenvectors can be read directly from their entries. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/688 Algebra and Discrete Mathematics; Vol 13, No 1 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/688/222 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Hopf algebras (generalized) circulant matrices Brandt algebras 15B05 16W30 Albuquerque, Helena Panaite, Florin Some (Hopf) algebraic properties of circulant matrices |
| title | Some (Hopf) algebraic properties of circulant matrices |
| title_full | Some (Hopf) algebraic properties of circulant matrices |
| title_fullStr | Some (Hopf) algebraic properties of circulant matrices |
| title_full_unstemmed | Some (Hopf) algebraic properties of circulant matrices |
| title_short | Some (Hopf) algebraic properties of circulant matrices |
| title_sort | some (hopf) algebraic properties of circulant matrices |
| topic | Hopf algebras (generalized) circulant matrices Brandt algebras 15B05 16W30 |
| topic_facet | Hopf algebras (generalized) circulant matrices Brandt algebras 15B05 16W30 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/688 |
| work_keys_str_mv | AT albuquerquehelena somehopfalgebraicpropertiesofcirculantmatrices AT panaiteflorin somehopfalgebraicpropertiesofcirculantmatrices |